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Can the directions of the sum of two two vectors be equal to the directions of difference of two vectors?
Yes.
When are two vectors identical?
Two vectors are identical when all their components are identical. An alternative definition, for vectors used in physics, is that they are identical when both the magnitude and the direction are identical.
What is parallelogram law of vectors?
"If two vector quantities are represented by two adjacent sides or a parallelogram then the diagonal of parallelogram will be equal to the resultant of these two vectors."
Can the sum of two vectors be a scalar?
No.
The sum of two vectors is a minimum when the angle between them is what?
180 degrees. Then the sum of the two vectors has a magnitude equal to the difference of their individual magnitudes.
How will you compare vectors?
You compare their magnitudes.
Two classes of vector?
This question is unfortunately not specific enough. Depending on your criteria you can arbitrarily divide vectors into two (or more) classes. For example I can divide all vectors into those with length 1 and those of other lengths.
Can the magnitude of resultant of two vectors of same magnitude be equal to the magnitude of either of the vectorsexplain mathematically?
Yes. Imagine an equilateral triangle. If two vectors are in the directions - and lengths - of two of the sides, the resultant will be the third side (depending on the directions chosen, of course).
If a and b are two vectors and the vector product of vector a and vector b is equal to a minus b then prove that a equals b?
The question is not correct, because the product of any two vectors is just a number, while when you subtract to vectors the result is also a vector. So you can't compare two different things...
How do the lengths of two radii of the same circle compare?
The sum of two radii of a circle is the same as the diameter of the circle.
How do you compare two lengths that are measured in different sized units?
You can mutiply or divide the units to find the answer.
Can sum of two vectors be numeric?
No, the sum of two vectors cannot be a scalar.
Can two vectors having different magnitudes be combined to give a zero resultant can three vectors?
Two vectors: no. Three vectors: yes.
Can the resultant of two equal vectors be of same magnitude as the two vectors?
Yes. This will happen if the two vectors are at an angle of 120 degrees.
Is it possible to combine two vectors of different magnitude to give a zero resultant if not can three vectors be combine?
Two vectors: no. Three vectors: yes.
Can the resultant of two vectors of the same magnitude be equal to the magnitude of either of the vector. How?
Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.Yes - if the vectors are at an angle of 60 degrees. In that case, the two vectors, and the resultant, form an equilateral triangle.
When adding two vectors at right anglers the resultant of the vectors is the algebraic sum of the two vectors True or false?
false
